Abstract

We numerically demonstrate pulse shaping by backward frequency doubling of femtosecond laser pulses in engineered quasi-phasematched waveguides. We employ optimal control theory to access the regime of pump depletion.

©2008 Optical Society of America

Full Article  |  PDF Article
OSA Recommended Articles
Cavityless oscillation through backward quasi-phase-matched second-harmonic generation

Claudio Conti, Gaetano Assanto, and Stefano Trillo
Opt. Lett. 24(16) 1139-1141 (1999)

Engineerable femtosecond pulse shaping by second-harmonic generation with Fourier synthetic quasi-phase-matching gratings

G. Imeshev, A. Galvanauskas, D. Harter, M. A. Arbore, M. Proctor, and M. M. Fejer
Opt. Lett. 23(11) 864-866 (1998)

Backward second-harmonic and third-harmonic generation in a periodically poled potassium titanyl phosphate waveguide

Xinhua Gu, Maxim Makarov, Yujie J. Ding, Jacob B. Khurgin, and William P. Risk
Opt. Lett. 24(3) 127-129 (1999)

References

  • View by:
  • |
  • |
  • |

  1. D. W. McCamant, P. Kukura, S. Yoon, and R. A. Mathies, “Theory of femtosecond stimulated Raman spectroscopy,” Rev. Sci. Instrum. 71, 4971–4976 (2004).
    [Crossref]
  2. P. Kukura, D. W. McCamant, S. Yoon, D. B. Wandschneider, and R. A. Mathies, “Structural observation of the primary isomerization in vision with femtosecond-stimulated Raman,” Science 310, 1006–1011 (2005).
    [Crossref] [PubMed]
  3. A. M. Weiner, “Femtosecond optical pulse shaping and processing,” Prog. Quant. Electron. 19, 161–237 (1995).
    [Crossref]
  4. M. Lauritano, A. Parini, G. Bellanca, S. Trillo, M. Conforti, A. Locatelli, and C. De Angelis, “Bistability, limiting, and self-pulsing in backward SHG: a time-domain approach,” J. Opt. A: Pure Appl. Opt. 8, S494–S501 (2006).
    [Crossref]
  5. C. Conti, S. Trillo, and G. Assanto, “Energy localization in photonic crystals of a purely nonlinear origin,” Phys. Rev. Lett. 85, 2502–2505 (2000).
    [Crossref] [PubMed]
  6. K. Gallo, P. Baldi, M. De Micheli, D. B. Ostrowsky, and G. Assanto, “Cascading phase-shift and multivalued response in counterpropagating frequency nondegenerate parametric amplifiers,” Opt. Lett. 25, 966–968 (2000).
    [Crossref]
  7. F. Laurell, C. Canalias, and V. Pasiskevicius, “Periodically poled crystals with submicrometer grating- fabrication, evolution and application,” EOS Top. Meet. on Optical Microsystems (Capri, Sept. 2005)
  8. A. C. Busacca, A. C. Cino, S. Riva Sanseverino, M. Ravaro, and G. Assanto, “Silica masks for improved surface poling of lithium niobate,” Electron. Lett. 41, 92–94 (2005).
    [Crossref]
  9. A. C. Busacca, R. L. Oliveri, A. C. Cino, S. Riva-Sanseverino, A. Parisi, and G. Assanto, “Ultraviolet Quasi-Phase-Matched Second Harmonic Generation in Surface Periodically Poled Lithium Niobate Optical Waveguides,” Laser Phys. 17, 884–888 (2007).
    [Crossref]
  10. C. Canalias and V. Pasiskevicius, “Mirrorless optical parametric oscillator”, Nat. Photon. 1, 459–462 (2007).
    [Crossref]
  11. S. E. Harris, “Proposed Backward Wave Oscillation in the Infrared,” Appl. Phys. Lett. 9, 114–116 (1966).
    [Crossref]
  12. P. St. J. Russell, “Theoretical study of parametric frequency and wavefront conversion in nonlinear holograms,” IEEE J. Quantum Electron. 27, 830–835 (1991).
    [Crossref]
  13. M. Conforti, A. Locatelli, C. De Angelis, A. Parini, G. Bellanca, and S. Trillo, “Self-pulsing instabilities in backward parameric wave mixing,” J. Opt. Soc. Am. B 22, 2178–2184 (2005).
    [Crossref]
  14. G. D’Alessandro, P. St. J. Russell, and A. A. Wheeler, “Nonlinear dynamics of a backward quasi-phase-matched second-harmonic generator,” Phys. Rev. A 55, 3211–3218 (1997).
    [Crossref]
  15. C. Conti, G. Assanto, and S. Trillo, “Cavityless oscillations through backward quasi-phase-matched second harmonic generation,” Opt. Lett. 24, 1139–1141 (1999).
    [Crossref]
  16. J. U. Kang, Y. J. Ding, W. K. Burns, and J. S. Mellinger, “Backward second-harmonic generation in periodically poled bulk LiNbO3,” Opt. Lett. 22, 862–864 (1997).
    [Crossref] [PubMed]
  17. X. Gu, R. Y. Korotkov, Y. J. Ding, J. U. Kang, and J. B. Khurgin, “Backward second-harmonic generation in periodically poled lithium niobate,” J. Opt. Soc. Am. B 15, 1561–1566 (1998).
    [Crossref]
  18. X. Gu, M. Makarov, Y. J. Ding, J. B. Khurgin, and W. P. Risk, “Backward second-harmonic and third-harmonic generation in a periodically poled potassium titanyl phosphate waveguide,” Opt. Lett. 24, 127–129 (1999).
    [Crossref]
  19. X. Mu, I. B. Zotova, Y. J. Ding, and W. P. Risk, “Backward second-harmonic generation in submicron-period ion-exchanged KTiOPO4 waveguide,” Opt. Commun. 181, 153–159 (2000).
    [Crossref]
  20. C. Canalias, V. Pasiskevicius, M. Fokine, and F. Laurell, “Backward quasi-phase-matched second-harmonic generation in submicrometer periodically poled flux-grown KTiOPO4,” Appl. Phys. Lett. 86, 181105 (2005).
    [Crossref]
  21. M. Conforti, F. Baronio, and C. De Angelis, “From femtosecond infrared to picosecond visible pulses: temporal shaping with high-efficiency conversion,” Opt. Lett. 32, 1779 (2007).
    [Crossref] [PubMed]
  22. M. A. Arbore, O. Marco, and M. M. Fejer, “Pulse compression during second-harmonic generation in aperiodic quasi-phase-matching gratings,” Opt. Lett. 22, 865–867 (1997).
    [Crossref] [PubMed]
  23. G. Imeshev, A. Galvanauskas, D. Harter, M. Arbore, M. Proctor, and M. Fejer, “Engineerable fs pulse shaping by SHG with Fourier synthetic quasi-phase-matching gratings,” Opt. Lett. 23, 864–864 (1998).
    [Crossref]
  24. G. Imeshev, M. Arbore, M. Fejer, A. Galvanauskas, M. Ferman, and D. Harter, “Ultrashort-pulse SHG with nonuniform quasi-phasematching gratings: compression and shaping,” J. Opt. Soc. Am. B 17, 304–318 (2000).
    [Crossref]
  25. U. K. Sapaev and D. T. Reid, “General second-harmonic pulse shaping in grating-engineered quasi-phasematched nonlinear crystals,” Opt. Express 13, 3264–3276 (2005).
    [Crossref] [PubMed]
  26. U. K. Sapaev and G. Assanto, “Femtosecond pulse synthesis by efficient second-harmonic generation in engineered quasi phase matching gratings,” Opt. Express 15, 7448–7457 (2007).
    [Crossref] [PubMed]
  27. O. Bang, C. B. Clausen, P. L. Christiansen, and L. Torner, “Engineering competing nonlinearities,” Opt. Lett. 24, 1413–1415 (1999).
    [Crossref]
  28. N. C. Kothari and X. Carlotti, “Transient second harmonic generation: influence of effectiv group-velocity dispersion,” J. Opt. Soc. Am. B 5, 756–764 (1988).
    [Crossref]
  29. E. Sidick, A. Knoesen, and A. Dienes, “Ultrashort-pulse second-harmonic generation. I. Transform-limited fundamental pulses,” J. Opt. Soc. Am. B 12, 1704–1712 (1995).
    [Crossref]
  30. Y. Ding, J. Kang, and J. Khurgin, “Theory of backward second-harmonic and third-harmonic generation using laser pulses in quasi-phase-matched 2nd-order nonlinear medium,” J. Quantum Electron. 34, 966–974 (1998).
    [Crossref]
  31. R. Buffa, “Transient second-harmonic generation with spatially nonuniform nonlinear coefficients,” Opt. Lett. 27, 1058–1060 (2002).
    [Crossref]
  32. I. Serban, J. Werschnik, and E. Gross, “Optimal control of time-dependent targets,” Phys. Rev. A 71, 053810 (2005).
    [Crossref]
  33. A. Kaiser and V. May, “Optimal control theory with continuously distributed target states: An application to NaK,” Chem. Phys. 320, 95–102 (2006).
    [Crossref]
  34. L. H. Deng, X. M. Gao, Z. S. Cao, W. D. Chen, Y. Q. Yuan, W. J. Zhang, and Z. B. Gong, “Improvement to Sellmeier equation for periodically poled LiNbO3 crystal using mid-infrared difference-frequency generation,” Opt. Commun. 268, 110–114 (2006).
    [Crossref]

2007 (4)

A. C. Busacca, R. L. Oliveri, A. C. Cino, S. Riva-Sanseverino, A. Parisi, and G. Assanto, “Ultraviolet Quasi-Phase-Matched Second Harmonic Generation in Surface Periodically Poled Lithium Niobate Optical Waveguides,” Laser Phys. 17, 884–888 (2007).
[Crossref]

C. Canalias and V. Pasiskevicius, “Mirrorless optical parametric oscillator”, Nat. Photon. 1, 459–462 (2007).
[Crossref]

M. Conforti, F. Baronio, and C. De Angelis, “From femtosecond infrared to picosecond visible pulses: temporal shaping with high-efficiency conversion,” Opt. Lett. 32, 1779 (2007).
[Crossref] [PubMed]

U. K. Sapaev and G. Assanto, “Femtosecond pulse synthesis by efficient second-harmonic generation in engineered quasi phase matching gratings,” Opt. Express 15, 7448–7457 (2007).
[Crossref] [PubMed]

2006 (3)

A. Kaiser and V. May, “Optimal control theory with continuously distributed target states: An application to NaK,” Chem. Phys. 320, 95–102 (2006).
[Crossref]

L. H. Deng, X. M. Gao, Z. S. Cao, W. D. Chen, Y. Q. Yuan, W. J. Zhang, and Z. B. Gong, “Improvement to Sellmeier equation for periodically poled LiNbO3 crystal using mid-infrared difference-frequency generation,” Opt. Commun. 268, 110–114 (2006).
[Crossref]

M. Lauritano, A. Parini, G. Bellanca, S. Trillo, M. Conforti, A. Locatelli, and C. De Angelis, “Bistability, limiting, and self-pulsing in backward SHG: a time-domain approach,” J. Opt. A: Pure Appl. Opt. 8, S494–S501 (2006).
[Crossref]

2005 (6)

P. Kukura, D. W. McCamant, S. Yoon, D. B. Wandschneider, and R. A. Mathies, “Structural observation of the primary isomerization in vision with femtosecond-stimulated Raman,” Science 310, 1006–1011 (2005).
[Crossref] [PubMed]

A. C. Busacca, A. C. Cino, S. Riva Sanseverino, M. Ravaro, and G. Assanto, “Silica masks for improved surface poling of lithium niobate,” Electron. Lett. 41, 92–94 (2005).
[Crossref]

M. Conforti, A. Locatelli, C. De Angelis, A. Parini, G. Bellanca, and S. Trillo, “Self-pulsing instabilities in backward parameric wave mixing,” J. Opt. Soc. Am. B 22, 2178–2184 (2005).
[Crossref]

I. Serban, J. Werschnik, and E. Gross, “Optimal control of time-dependent targets,” Phys. Rev. A 71, 053810 (2005).
[Crossref]

U. K. Sapaev and D. T. Reid, “General second-harmonic pulse shaping in grating-engineered quasi-phasematched nonlinear crystals,” Opt. Express 13, 3264–3276 (2005).
[Crossref] [PubMed]

C. Canalias, V. Pasiskevicius, M. Fokine, and F. Laurell, “Backward quasi-phase-matched second-harmonic generation in submicrometer periodically poled flux-grown KTiOPO4,” Appl. Phys. Lett. 86, 181105 (2005).
[Crossref]

2004 (1)

D. W. McCamant, P. Kukura, S. Yoon, and R. A. Mathies, “Theory of femtosecond stimulated Raman spectroscopy,” Rev. Sci. Instrum. 71, 4971–4976 (2004).
[Crossref]

2002 (1)

2000 (4)

G. Imeshev, M. Arbore, M. Fejer, A. Galvanauskas, M. Ferman, and D. Harter, “Ultrashort-pulse SHG with nonuniform quasi-phasematching gratings: compression and shaping,” J. Opt. Soc. Am. B 17, 304–318 (2000).
[Crossref]

C. Conti, S. Trillo, and G. Assanto, “Energy localization in photonic crystals of a purely nonlinear origin,” Phys. Rev. Lett. 85, 2502–2505 (2000).
[Crossref] [PubMed]

K. Gallo, P. Baldi, M. De Micheli, D. B. Ostrowsky, and G. Assanto, “Cascading phase-shift and multivalued response in counterpropagating frequency nondegenerate parametric amplifiers,” Opt. Lett. 25, 966–968 (2000).
[Crossref]

X. Mu, I. B. Zotova, Y. J. Ding, and W. P. Risk, “Backward second-harmonic generation in submicron-period ion-exchanged KTiOPO4 waveguide,” Opt. Commun. 181, 153–159 (2000).
[Crossref]

1999 (3)

1998 (3)

1997 (3)

1995 (2)

1991 (1)

P. St. J. Russell, “Theoretical study of parametric frequency and wavefront conversion in nonlinear holograms,” IEEE J. Quantum Electron. 27, 830–835 (1991).
[Crossref]

1988 (1)

1966 (1)

S. E. Harris, “Proposed Backward Wave Oscillation in the Infrared,” Appl. Phys. Lett. 9, 114–116 (1966).
[Crossref]

Arbore, M.

Arbore, M. A.

Assanto, G.

U. K. Sapaev and G. Assanto, “Femtosecond pulse synthesis by efficient second-harmonic generation in engineered quasi phase matching gratings,” Opt. Express 15, 7448–7457 (2007).
[Crossref] [PubMed]

A. C. Busacca, R. L. Oliveri, A. C. Cino, S. Riva-Sanseverino, A. Parisi, and G. Assanto, “Ultraviolet Quasi-Phase-Matched Second Harmonic Generation in Surface Periodically Poled Lithium Niobate Optical Waveguides,” Laser Phys. 17, 884–888 (2007).
[Crossref]

A. C. Busacca, A. C. Cino, S. Riva Sanseverino, M. Ravaro, and G. Assanto, “Silica masks for improved surface poling of lithium niobate,” Electron. Lett. 41, 92–94 (2005).
[Crossref]

C. Conti, S. Trillo, and G. Assanto, “Energy localization in photonic crystals of a purely nonlinear origin,” Phys. Rev. Lett. 85, 2502–2505 (2000).
[Crossref] [PubMed]

K. Gallo, P. Baldi, M. De Micheli, D. B. Ostrowsky, and G. Assanto, “Cascading phase-shift and multivalued response in counterpropagating frequency nondegenerate parametric amplifiers,” Opt. Lett. 25, 966–968 (2000).
[Crossref]

C. Conti, G. Assanto, and S. Trillo, “Cavityless oscillations through backward quasi-phase-matched second harmonic generation,” Opt. Lett. 24, 1139–1141 (1999).
[Crossref]

Baldi, P.

Bang, O.

Baronio, F.

Bellanca, G.

M. Lauritano, A. Parini, G. Bellanca, S. Trillo, M. Conforti, A. Locatelli, and C. De Angelis, “Bistability, limiting, and self-pulsing in backward SHG: a time-domain approach,” J. Opt. A: Pure Appl. Opt. 8, S494–S501 (2006).
[Crossref]

M. Conforti, A. Locatelli, C. De Angelis, A. Parini, G. Bellanca, and S. Trillo, “Self-pulsing instabilities in backward parameric wave mixing,” J. Opt. Soc. Am. B 22, 2178–2184 (2005).
[Crossref]

Buffa, R.

Burns, W. K.

Busacca, A. C.

A. C. Busacca, R. L. Oliveri, A. C. Cino, S. Riva-Sanseverino, A. Parisi, and G. Assanto, “Ultraviolet Quasi-Phase-Matched Second Harmonic Generation in Surface Periodically Poled Lithium Niobate Optical Waveguides,” Laser Phys. 17, 884–888 (2007).
[Crossref]

A. C. Busacca, A. C. Cino, S. Riva Sanseverino, M. Ravaro, and G. Assanto, “Silica masks for improved surface poling of lithium niobate,” Electron. Lett. 41, 92–94 (2005).
[Crossref]

Canalias, C.

C. Canalias and V. Pasiskevicius, “Mirrorless optical parametric oscillator”, Nat. Photon. 1, 459–462 (2007).
[Crossref]

C. Canalias, V. Pasiskevicius, M. Fokine, and F. Laurell, “Backward quasi-phase-matched second-harmonic generation in submicrometer periodically poled flux-grown KTiOPO4,” Appl. Phys. Lett. 86, 181105 (2005).
[Crossref]

F. Laurell, C. Canalias, and V. Pasiskevicius, “Periodically poled crystals with submicrometer grating- fabrication, evolution and application,” EOS Top. Meet. on Optical Microsystems (Capri, Sept. 2005)

Cao, Z. S.

L. H. Deng, X. M. Gao, Z. S. Cao, W. D. Chen, Y. Q. Yuan, W. J. Zhang, and Z. B. Gong, “Improvement to Sellmeier equation for periodically poled LiNbO3 crystal using mid-infrared difference-frequency generation,” Opt. Commun. 268, 110–114 (2006).
[Crossref]

Carlotti, X.

Chen, W. D.

L. H. Deng, X. M. Gao, Z. S. Cao, W. D. Chen, Y. Q. Yuan, W. J. Zhang, and Z. B. Gong, “Improvement to Sellmeier equation for periodically poled LiNbO3 crystal using mid-infrared difference-frequency generation,” Opt. Commun. 268, 110–114 (2006).
[Crossref]

Christiansen, P. L.

Cino, A. C.

A. C. Busacca, R. L. Oliveri, A. C. Cino, S. Riva-Sanseverino, A. Parisi, and G. Assanto, “Ultraviolet Quasi-Phase-Matched Second Harmonic Generation in Surface Periodically Poled Lithium Niobate Optical Waveguides,” Laser Phys. 17, 884–888 (2007).
[Crossref]

A. C. Busacca, A. C. Cino, S. Riva Sanseverino, M. Ravaro, and G. Assanto, “Silica masks for improved surface poling of lithium niobate,” Electron. Lett. 41, 92–94 (2005).
[Crossref]

Clausen, C. B.

Conforti, M.

Conti, C.

C. Conti, S. Trillo, and G. Assanto, “Energy localization in photonic crystals of a purely nonlinear origin,” Phys. Rev. Lett. 85, 2502–2505 (2000).
[Crossref] [PubMed]

C. Conti, G. Assanto, and S. Trillo, “Cavityless oscillations through backward quasi-phase-matched second harmonic generation,” Opt. Lett. 24, 1139–1141 (1999).
[Crossref]

D’Alessandro, G.

G. D’Alessandro, P. St. J. Russell, and A. A. Wheeler, “Nonlinear dynamics of a backward quasi-phase-matched second-harmonic generator,” Phys. Rev. A 55, 3211–3218 (1997).
[Crossref]

De Angelis, C.

Deng, L. H.

L. H. Deng, X. M. Gao, Z. S. Cao, W. D. Chen, Y. Q. Yuan, W. J. Zhang, and Z. B. Gong, “Improvement to Sellmeier equation for periodically poled LiNbO3 crystal using mid-infrared difference-frequency generation,” Opt. Commun. 268, 110–114 (2006).
[Crossref]

Dienes, A.

Ding, Y.

Y. Ding, J. Kang, and J. Khurgin, “Theory of backward second-harmonic and third-harmonic generation using laser pulses in quasi-phase-matched 2nd-order nonlinear medium,” J. Quantum Electron. 34, 966–974 (1998).
[Crossref]

Ding, Y. J.

Fejer, M.

Fejer, M. M.

Ferman, M.

Fokine, M.

C. Canalias, V. Pasiskevicius, M. Fokine, and F. Laurell, “Backward quasi-phase-matched second-harmonic generation in submicrometer periodically poled flux-grown KTiOPO4,” Appl. Phys. Lett. 86, 181105 (2005).
[Crossref]

Gallo, K.

Galvanauskas, A.

Gao, X. M.

L. H. Deng, X. M. Gao, Z. S. Cao, W. D. Chen, Y. Q. Yuan, W. J. Zhang, and Z. B. Gong, “Improvement to Sellmeier equation for periodically poled LiNbO3 crystal using mid-infrared difference-frequency generation,” Opt. Commun. 268, 110–114 (2006).
[Crossref]

Gong, Z. B.

L. H. Deng, X. M. Gao, Z. S. Cao, W. D. Chen, Y. Q. Yuan, W. J. Zhang, and Z. B. Gong, “Improvement to Sellmeier equation for periodically poled LiNbO3 crystal using mid-infrared difference-frequency generation,” Opt. Commun. 268, 110–114 (2006).
[Crossref]

Gross, E.

I. Serban, J. Werschnik, and E. Gross, “Optimal control of time-dependent targets,” Phys. Rev. A 71, 053810 (2005).
[Crossref]

Gu, X.

Harris, S. E.

S. E. Harris, “Proposed Backward Wave Oscillation in the Infrared,” Appl. Phys. Lett. 9, 114–116 (1966).
[Crossref]

Harter, D.

Imeshev, G.

Kaiser, A.

A. Kaiser and V. May, “Optimal control theory with continuously distributed target states: An application to NaK,” Chem. Phys. 320, 95–102 (2006).
[Crossref]

Kang, J.

Y. Ding, J. Kang, and J. Khurgin, “Theory of backward second-harmonic and third-harmonic generation using laser pulses in quasi-phase-matched 2nd-order nonlinear medium,” J. Quantum Electron. 34, 966–974 (1998).
[Crossref]

Kang, J. U.

Khurgin, J.

Y. Ding, J. Kang, and J. Khurgin, “Theory of backward second-harmonic and third-harmonic generation using laser pulses in quasi-phase-matched 2nd-order nonlinear medium,” J. Quantum Electron. 34, 966–974 (1998).
[Crossref]

Khurgin, J. B.

Knoesen, A.

Korotkov, R. Y.

Kothari, N. C.

Kukura, P.

P. Kukura, D. W. McCamant, S. Yoon, D. B. Wandschneider, and R. A. Mathies, “Structural observation of the primary isomerization in vision with femtosecond-stimulated Raman,” Science 310, 1006–1011 (2005).
[Crossref] [PubMed]

D. W. McCamant, P. Kukura, S. Yoon, and R. A. Mathies, “Theory of femtosecond stimulated Raman spectroscopy,” Rev. Sci. Instrum. 71, 4971–4976 (2004).
[Crossref]

Laurell, F.

C. Canalias, V. Pasiskevicius, M. Fokine, and F. Laurell, “Backward quasi-phase-matched second-harmonic generation in submicrometer periodically poled flux-grown KTiOPO4,” Appl. Phys. Lett. 86, 181105 (2005).
[Crossref]

F. Laurell, C. Canalias, and V. Pasiskevicius, “Periodically poled crystals with submicrometer grating- fabrication, evolution and application,” EOS Top. Meet. on Optical Microsystems (Capri, Sept. 2005)

Lauritano, M.

M. Lauritano, A. Parini, G. Bellanca, S. Trillo, M. Conforti, A. Locatelli, and C. De Angelis, “Bistability, limiting, and self-pulsing in backward SHG: a time-domain approach,” J. Opt. A: Pure Appl. Opt. 8, S494–S501 (2006).
[Crossref]

Locatelli, A.

M. Lauritano, A. Parini, G. Bellanca, S. Trillo, M. Conforti, A. Locatelli, and C. De Angelis, “Bistability, limiting, and self-pulsing in backward SHG: a time-domain approach,” J. Opt. A: Pure Appl. Opt. 8, S494–S501 (2006).
[Crossref]

M. Conforti, A. Locatelli, C. De Angelis, A. Parini, G. Bellanca, and S. Trillo, “Self-pulsing instabilities in backward parameric wave mixing,” J. Opt. Soc. Am. B 22, 2178–2184 (2005).
[Crossref]

Makarov, M.

Marco, O.

Mathies, R. A.

P. Kukura, D. W. McCamant, S. Yoon, D. B. Wandschneider, and R. A. Mathies, “Structural observation of the primary isomerization in vision with femtosecond-stimulated Raman,” Science 310, 1006–1011 (2005).
[Crossref] [PubMed]

D. W. McCamant, P. Kukura, S. Yoon, and R. A. Mathies, “Theory of femtosecond stimulated Raman spectroscopy,” Rev. Sci. Instrum. 71, 4971–4976 (2004).
[Crossref]

May, V.

A. Kaiser and V. May, “Optimal control theory with continuously distributed target states: An application to NaK,” Chem. Phys. 320, 95–102 (2006).
[Crossref]

McCamant, D. W.

P. Kukura, D. W. McCamant, S. Yoon, D. B. Wandschneider, and R. A. Mathies, “Structural observation of the primary isomerization in vision with femtosecond-stimulated Raman,” Science 310, 1006–1011 (2005).
[Crossref] [PubMed]

D. W. McCamant, P. Kukura, S. Yoon, and R. A. Mathies, “Theory of femtosecond stimulated Raman spectroscopy,” Rev. Sci. Instrum. 71, 4971–4976 (2004).
[Crossref]

Mellinger, J. S.

Micheli, M. De

Mu, X.

X. Mu, I. B. Zotova, Y. J. Ding, and W. P. Risk, “Backward second-harmonic generation in submicron-period ion-exchanged KTiOPO4 waveguide,” Opt. Commun. 181, 153–159 (2000).
[Crossref]

Oliveri, R. L.

A. C. Busacca, R. L. Oliveri, A. C. Cino, S. Riva-Sanseverino, A. Parisi, and G. Assanto, “Ultraviolet Quasi-Phase-Matched Second Harmonic Generation in Surface Periodically Poled Lithium Niobate Optical Waveguides,” Laser Phys. 17, 884–888 (2007).
[Crossref]

Ostrowsky, D. B.

Parini, A.

M. Lauritano, A. Parini, G. Bellanca, S. Trillo, M. Conforti, A. Locatelli, and C. De Angelis, “Bistability, limiting, and self-pulsing in backward SHG: a time-domain approach,” J. Opt. A: Pure Appl. Opt. 8, S494–S501 (2006).
[Crossref]

M. Conforti, A. Locatelli, C. De Angelis, A. Parini, G. Bellanca, and S. Trillo, “Self-pulsing instabilities in backward parameric wave mixing,” J. Opt. Soc. Am. B 22, 2178–2184 (2005).
[Crossref]

Parisi, A.

A. C. Busacca, R. L. Oliveri, A. C. Cino, S. Riva-Sanseverino, A. Parisi, and G. Assanto, “Ultraviolet Quasi-Phase-Matched Second Harmonic Generation in Surface Periodically Poled Lithium Niobate Optical Waveguides,” Laser Phys. 17, 884–888 (2007).
[Crossref]

Pasiskevicius, V.

C. Canalias and V. Pasiskevicius, “Mirrorless optical parametric oscillator”, Nat. Photon. 1, 459–462 (2007).
[Crossref]

C. Canalias, V. Pasiskevicius, M. Fokine, and F. Laurell, “Backward quasi-phase-matched second-harmonic generation in submicrometer periodically poled flux-grown KTiOPO4,” Appl. Phys. Lett. 86, 181105 (2005).
[Crossref]

F. Laurell, C. Canalias, and V. Pasiskevicius, “Periodically poled crystals with submicrometer grating- fabrication, evolution and application,” EOS Top. Meet. on Optical Microsystems (Capri, Sept. 2005)

Proctor, M.

Ravaro, M.

A. C. Busacca, A. C. Cino, S. Riva Sanseverino, M. Ravaro, and G. Assanto, “Silica masks for improved surface poling of lithium niobate,” Electron. Lett. 41, 92–94 (2005).
[Crossref]

Reid, D. T.

Risk, W. P.

X. Mu, I. B. Zotova, Y. J. Ding, and W. P. Risk, “Backward second-harmonic generation in submicron-period ion-exchanged KTiOPO4 waveguide,” Opt. Commun. 181, 153–159 (2000).
[Crossref]

X. Gu, M. Makarov, Y. J. Ding, J. B. Khurgin, and W. P. Risk, “Backward second-harmonic and third-harmonic generation in a periodically poled potassium titanyl phosphate waveguide,” Opt. Lett. 24, 127–129 (1999).
[Crossref]

Riva-Sanseverino, S.

A. C. Busacca, R. L. Oliveri, A. C. Cino, S. Riva-Sanseverino, A. Parisi, and G. Assanto, “Ultraviolet Quasi-Phase-Matched Second Harmonic Generation in Surface Periodically Poled Lithium Niobate Optical Waveguides,” Laser Phys. 17, 884–888 (2007).
[Crossref]

Russell, P. St. J.

G. D’Alessandro, P. St. J. Russell, and A. A. Wheeler, “Nonlinear dynamics of a backward quasi-phase-matched second-harmonic generator,” Phys. Rev. A 55, 3211–3218 (1997).
[Crossref]

P. St. J. Russell, “Theoretical study of parametric frequency and wavefront conversion in nonlinear holograms,” IEEE J. Quantum Electron. 27, 830–835 (1991).
[Crossref]

Sanseverino, S. Riva

A. C. Busacca, A. C. Cino, S. Riva Sanseverino, M. Ravaro, and G. Assanto, “Silica masks for improved surface poling of lithium niobate,” Electron. Lett. 41, 92–94 (2005).
[Crossref]

Sapaev, U. K.

Serban, I.

I. Serban, J. Werschnik, and E. Gross, “Optimal control of time-dependent targets,” Phys. Rev. A 71, 053810 (2005).
[Crossref]

Sidick, E.

Torner, L.

Trillo, S.

M. Lauritano, A. Parini, G. Bellanca, S. Trillo, M. Conforti, A. Locatelli, and C. De Angelis, “Bistability, limiting, and self-pulsing in backward SHG: a time-domain approach,” J. Opt. A: Pure Appl. Opt. 8, S494–S501 (2006).
[Crossref]

M. Conforti, A. Locatelli, C. De Angelis, A. Parini, G. Bellanca, and S. Trillo, “Self-pulsing instabilities in backward parameric wave mixing,” J. Opt. Soc. Am. B 22, 2178–2184 (2005).
[Crossref]

C. Conti, S. Trillo, and G. Assanto, “Energy localization in photonic crystals of a purely nonlinear origin,” Phys. Rev. Lett. 85, 2502–2505 (2000).
[Crossref] [PubMed]

C. Conti, G. Assanto, and S. Trillo, “Cavityless oscillations through backward quasi-phase-matched second harmonic generation,” Opt. Lett. 24, 1139–1141 (1999).
[Crossref]

Wandschneider, D. B.

P. Kukura, D. W. McCamant, S. Yoon, D. B. Wandschneider, and R. A. Mathies, “Structural observation of the primary isomerization in vision with femtosecond-stimulated Raman,” Science 310, 1006–1011 (2005).
[Crossref] [PubMed]

Weiner, A. M.

A. M. Weiner, “Femtosecond optical pulse shaping and processing,” Prog. Quant. Electron. 19, 161–237 (1995).
[Crossref]

Werschnik, J.

I. Serban, J. Werschnik, and E. Gross, “Optimal control of time-dependent targets,” Phys. Rev. A 71, 053810 (2005).
[Crossref]

Wheeler, A. A.

G. D’Alessandro, P. St. J. Russell, and A. A. Wheeler, “Nonlinear dynamics of a backward quasi-phase-matched second-harmonic generator,” Phys. Rev. A 55, 3211–3218 (1997).
[Crossref]

Yoon, S.

P. Kukura, D. W. McCamant, S. Yoon, D. B. Wandschneider, and R. A. Mathies, “Structural observation of the primary isomerization in vision with femtosecond-stimulated Raman,” Science 310, 1006–1011 (2005).
[Crossref] [PubMed]

D. W. McCamant, P. Kukura, S. Yoon, and R. A. Mathies, “Theory of femtosecond stimulated Raman spectroscopy,” Rev. Sci. Instrum. 71, 4971–4976 (2004).
[Crossref]

Yuan, Y. Q.

L. H. Deng, X. M. Gao, Z. S. Cao, W. D. Chen, Y. Q. Yuan, W. J. Zhang, and Z. B. Gong, “Improvement to Sellmeier equation for periodically poled LiNbO3 crystal using mid-infrared difference-frequency generation,” Opt. Commun. 268, 110–114 (2006).
[Crossref]

Zhang, W. J.

L. H. Deng, X. M. Gao, Z. S. Cao, W. D. Chen, Y. Q. Yuan, W. J. Zhang, and Z. B. Gong, “Improvement to Sellmeier equation for periodically poled LiNbO3 crystal using mid-infrared difference-frequency generation,” Opt. Commun. 268, 110–114 (2006).
[Crossref]

Zotova, I. B.

X. Mu, I. B. Zotova, Y. J. Ding, and W. P. Risk, “Backward second-harmonic generation in submicron-period ion-exchanged KTiOPO4 waveguide,” Opt. Commun. 181, 153–159 (2000).
[Crossref]

Appl. Phys. Lett. (2)

S. E. Harris, “Proposed Backward Wave Oscillation in the Infrared,” Appl. Phys. Lett. 9, 114–116 (1966).
[Crossref]

C. Canalias, V. Pasiskevicius, M. Fokine, and F. Laurell, “Backward quasi-phase-matched second-harmonic generation in submicrometer periodically poled flux-grown KTiOPO4,” Appl. Phys. Lett. 86, 181105 (2005).
[Crossref]

Chem. Phys. (1)

A. Kaiser and V. May, “Optimal control theory with continuously distributed target states: An application to NaK,” Chem. Phys. 320, 95–102 (2006).
[Crossref]

Electron. Lett. (1)

A. C. Busacca, A. C. Cino, S. Riva Sanseverino, M. Ravaro, and G. Assanto, “Silica masks for improved surface poling of lithium niobate,” Electron. Lett. 41, 92–94 (2005).
[Crossref]

IEEE J. Quantum Electron. (1)

P. St. J. Russell, “Theoretical study of parametric frequency and wavefront conversion in nonlinear holograms,” IEEE J. Quantum Electron. 27, 830–835 (1991).
[Crossref]

J. Opt. A: Pure Appl. Opt. (1)

M. Lauritano, A. Parini, G. Bellanca, S. Trillo, M. Conforti, A. Locatelli, and C. De Angelis, “Bistability, limiting, and self-pulsing in backward SHG: a time-domain approach,” J. Opt. A: Pure Appl. Opt. 8, S494–S501 (2006).
[Crossref]

J. Opt. Soc. Am. B (5)

J. Quantum Electron. (1)

Y. Ding, J. Kang, and J. Khurgin, “Theory of backward second-harmonic and third-harmonic generation using laser pulses in quasi-phase-matched 2nd-order nonlinear medium,” J. Quantum Electron. 34, 966–974 (1998).
[Crossref]

Laser Phys. (1)

A. C. Busacca, R. L. Oliveri, A. C. Cino, S. Riva-Sanseverino, A. Parisi, and G. Assanto, “Ultraviolet Quasi-Phase-Matched Second Harmonic Generation in Surface Periodically Poled Lithium Niobate Optical Waveguides,” Laser Phys. 17, 884–888 (2007).
[Crossref]

Nat. Photon. (1)

C. Canalias and V. Pasiskevicius, “Mirrorless optical parametric oscillator”, Nat. Photon. 1, 459–462 (2007).
[Crossref]

Opt. Commun. (2)

X. Mu, I. B. Zotova, Y. J. Ding, and W. P. Risk, “Backward second-harmonic generation in submicron-period ion-exchanged KTiOPO4 waveguide,” Opt. Commun. 181, 153–159 (2000).
[Crossref]

L. H. Deng, X. M. Gao, Z. S. Cao, W. D. Chen, Y. Q. Yuan, W. J. Zhang, and Z. B. Gong, “Improvement to Sellmeier equation for periodically poled LiNbO3 crystal using mid-infrared difference-frequency generation,” Opt. Commun. 268, 110–114 (2006).
[Crossref]

Opt. Express (2)

Opt. Lett. (9)

C. Conti, G. Assanto, and S. Trillo, “Cavityless oscillations through backward quasi-phase-matched second harmonic generation,” Opt. Lett. 24, 1139–1141 (1999).
[Crossref]

G. Imeshev, A. Galvanauskas, D. Harter, M. Arbore, M. Proctor, and M. Fejer, “Engineerable fs pulse shaping by SHG with Fourier synthetic quasi-phase-matching gratings,” Opt. Lett. 23, 864–864 (1998).
[Crossref]

X. Gu, M. Makarov, Y. J. Ding, J. B. Khurgin, and W. P. Risk, “Backward second-harmonic and third-harmonic generation in a periodically poled potassium titanyl phosphate waveguide,” Opt. Lett. 24, 127–129 (1999).
[Crossref]

M. Conforti, F. Baronio, and C. De Angelis, “From femtosecond infrared to picosecond visible pulses: temporal shaping with high-efficiency conversion,” Opt. Lett. 32, 1779 (2007).
[Crossref] [PubMed]

M. A. Arbore, O. Marco, and M. M. Fejer, “Pulse compression during second-harmonic generation in aperiodic quasi-phase-matching gratings,” Opt. Lett. 22, 865–867 (1997).
[Crossref] [PubMed]

R. Buffa, “Transient second-harmonic generation with spatially nonuniform nonlinear coefficients,” Opt. Lett. 27, 1058–1060 (2002).
[Crossref]

O. Bang, C. B. Clausen, P. L. Christiansen, and L. Torner, “Engineering competing nonlinearities,” Opt. Lett. 24, 1413–1415 (1999).
[Crossref]

K. Gallo, P. Baldi, M. De Micheli, D. B. Ostrowsky, and G. Assanto, “Cascading phase-shift and multivalued response in counterpropagating frequency nondegenerate parametric amplifiers,” Opt. Lett. 25, 966–968 (2000).
[Crossref]

J. U. Kang, Y. J. Ding, W. K. Burns, and J. S. Mellinger, “Backward second-harmonic generation in periodically poled bulk LiNbO3,” Opt. Lett. 22, 862–864 (1997).
[Crossref] [PubMed]

Phys. Rev. A (2)

I. Serban, J. Werschnik, and E. Gross, “Optimal control of time-dependent targets,” Phys. Rev. A 71, 053810 (2005).
[Crossref]

G. D’Alessandro, P. St. J. Russell, and A. A. Wheeler, “Nonlinear dynamics of a backward quasi-phase-matched second-harmonic generator,” Phys. Rev. A 55, 3211–3218 (1997).
[Crossref]

Phys. Rev. Lett. (1)

C. Conti, S. Trillo, and G. Assanto, “Energy localization in photonic crystals of a purely nonlinear origin,” Phys. Rev. Lett. 85, 2502–2505 (2000).
[Crossref] [PubMed]

Prog. Quant. Electron. (1)

A. M. Weiner, “Femtosecond optical pulse shaping and processing,” Prog. Quant. Electron. 19, 161–237 (1995).
[Crossref]

Rev. Sci. Instrum. (1)

D. W. McCamant, P. Kukura, S. Yoon, and R. A. Mathies, “Theory of femtosecond stimulated Raman spectroscopy,” Rev. Sci. Instrum. 71, 4971–4976 (2004).
[Crossref]

Science (1)

P. Kukura, D. W. McCamant, S. Yoon, D. B. Wandschneider, and R. A. Mathies, “Structural observation of the primary isomerization in vision with femtosecond-stimulated Raman,” Science 310, 1006–1011 (2005).
[Crossref] [PubMed]

Other (1)

F. Laurell, C. Canalias, and V. Pasiskevicius, “Periodically poled crystals with submicrometer grating- fabrication, evolution and application,” EOS Top. Meet. on Optical Microsystems (Capri, Sept. 2005)

Cited By

OSA participates in Crossref's Cited-By Linking service. Citing articles from OSA journals and other participating publishers are listed here.

Alert me when this article is cited.


Figures (3)

Fig. 1.
Fig. 1. BSHG conversion efficiency versus z (1) and SH pulse profile (2) (in z=0) for perfect QPM (Δk=0), for various δ: black (δ=0), blue (δ=2), red (δ=5) and green (δ=10). BSHG conversion efficiency versus z (3) and SH pulse profile (4) (in z=0) for δ=10 and various Δk: black (Δk=0), blue (Δk=20), red (Δk=50) and green (Δk=100). In (4) the dashed profile is the input FF pulse.
Fig. 2.
Fig. 2. (a) SH output (circles) and target (solid line) intensity profiles versus time. (b) SH output (circles) and target (solid line) spectral intensities. (c) Amplitude of the optimal nonlinearity distribution. (d) Derivative of the argument of the complex nonlinear coefficient, related to the residual wavevector mismatch (see eq.(7)).
Fig. 3.
Fig. 3. Same as in Fig. 2, but for a chirped SH target pulse and a 10% conversion efficiency.

Equations (7)

Equations on this page are rendered with MathJax. Learn more.

i E 1 z = β 1 2 2 E 1 t 2 G ( z ) exp ( i Δ k z ) E 1 * E 2 , i E 2 z = i δ E 2 t + β 2 2 2 E 2 t 2 G ( z ) exp ( i Δ k z ) E 1 2 ,
i E 1 z = β 1 2 2 E 1 t 2 χ ( z ) E 1 * E 2 , i E 2 z = i δ E 2 t + β 2 2 2 E 2 t 2 χ * ( z ) E 1 2 ,
J 1 = 1 2 + [ E 2 ( z = 0 , t ) E 2 , target ( t ) ] 2 dt .
J 2 = 0 L + [ λ 1 ( E 1 z + β 1 2 i 2 E 1 t 2 i χ E 1 * E 2 ) λ 2 ( E 2 z + δ E 2 t + β 2 2 i 2 E 2 t 2 + i χ * E 1 2 ) ] dt dz
i λ 1 z = β 1 2 2 λ 1 t 2 χ * ( λ 1 * E 2 * 2 λ 2 E 1 ) , i λ 2 z = i δ λ 2 t β 2 2 2 λ 2 t 2 + χ λ 1 E 1 * .
δ J δ χ = ( i λ 1 E 2 E 1 * + i λ 2 * E 1 2 * ) dt .
d c ( z ) = 1 r π arcsin ( ± r π 2 χ ( z ) χ 0 ) , Λ ( z ) = r 2 π ( Δ k + d [ Arg [ χ ( z ) ] + r π d c ( z ) ] dz ) 1 .

Metrics